152883936 has 72 divisors (see below), whose sum is σ = 450888984. Its totient is φ = 50958720.

The previous prime is 152883923. The next prime is 152883949. The reversal of 152883936 is 639388251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152883923) and next prime (152883949).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 152883891 and 152883900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2055 + ... + 17606.

It is an arithmetic number, because the mean of its divisors is an integer number (6262347).

Almost surely, 2^152883936 is an apocalyptic number.

152883936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152883936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225444492).

152883936 is an abundant number, since it is smaller than the sum of its proper divisors (298005048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152883936 is an equidigital number, since it uses as much as digits as its factorization.

152883936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19686 (or 19666 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 152883936 is about 12364.6243776348. The cubic root of 152883936 is about 534.7128467467.

The spelling of 152883936 in words is "one hundred fifty-two million, eight hundred eighty-three thousand, nine hundred thirty-six".